692 research outputs found
A Conclusive Test of Abelian Dominance Hypothesis for Topological Charge in the QCD Vacuum
We study the topological feature in the QCD vacuum based on the hypothesis of
abelian dominance. The topological charge can be explicitly
represented in terms of the monopole current in the abelian dominated system.
To appreciate its justification, we directly measure the corresponding
topological charge , which is reconstructed only from the
monopole current and the abelian component of gauge fields, by using the Monte
Carlo simulation on SU(2) lattice. We find that there exists a one-to-one
correspondence between and in the maximally
abelian gauge. Furthermore, is classified by approximately
discrete values.Comment: LATTICE98(confine), 3 pages, Latex, 3 figures include
Skyrmion pseudoSkyrmion Transition in Bilayer Quantum Hall States at
Bilayer quantum Hall states at have been demonstrated to possess a
distinguished state with interlayer phase coherence. The state has both
excitations of Skyrmion with spin and pseudoSkyrmion with pseudospin. We show
that Skyrmion pseudoSkyrmion transition arises in the state
by changing imbalance between electron densities in both layers; PseudoSkyrmion
is realized at balance point, while Skyrmion is realized at large imbalance.
The transition can be seen by observing the dependence of activation energies
on magnetic field parallel to the layers.Comment: 12 pages, no figure
Monopole Current Dynamics and Color Confinement
Color confinement can be understood by the dual Higgs theory, where monopole
condensation leads to the exclusion of the electric flux from the QCD vacuum.
We study the role of the monopole for color confinement by investigating the
monopole current system. When the self-energy of the monopole current is small
enough, long and complicated monopole world-lines appear, which is a signal of
monopole condensation. In the dense monopole system, the Wilson loop obeys the
area-law, and the string tension and the monopole density have similar behavior
as the function of the self-energy, which seems that monopole condensation
leads to color confinement. On the long-distance physics, the monopole current
system almost reproduces essential features of confinement properties in
lattice QCD. In the short-distance physics, however, the monopole-current
theory would become nonlocal and complicated due to the monopole size effect.
This monopole size would provide a critical scale of QCD in terms of the dual
Higgs mechanism.Comment: 6 pages LaTeX, 5 figures, uses espcrc1.sty, Talk presented at
International Conference on Quark Lepton Nuclear Physics, Osaka, May. 199
Solitons in Chern-Simons theories of nonrelativistic CP^{N-1} models: Spin textures in the quantum Hall effect
Topological solitons in CP^{N-1} models coupled with Chern-Simons gauge
theory and a Hopf term are studied both analytically and numerically.These
models are low-energy effective theories for the quantum Hall effect with
internal degrees of freedom, like that in bilayer electron systems. We
explicitly show that the CP^{N-1} models describe quite well spin textures in
the original Chern-Simons theory of bosonized electrons.Comment: Latex, 19 pages, 6 figure
Confinement and Topological Charge in the Abelian Gauge of QCD
We study the relation between instantons and monopoles in the abelian gauge.
First, we investigate the monopole in the multi-instanton solution in the
continuum Yang-Mills theory using the Polyakov gauge. At a large instanton
density, the monopole trajectory becomes highly complicated, which can be
regarded as a signal of monopole condensation. Second, we study instantons and
monopoles in the SU(2) lattice gauge theory both in the maximally abelian (MA)
gauge and in the Polyakov gauge. Using the lattice, we find
monopole dominance for instantons in the confinement phase even at finite
temperatures. A linear-type correlation is found between the total
monopole-loop length and the integral of the absolute value of the topological
density (the total number of instantons and anti-instantons) in the MA gauge.
We conjecture that instantons enhance the monopole-loop length and promote
monopole condensation.Comment: 3 pages, LaTeX, Talk presented at LATTICE96(topology
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